460257327360 has 576 divisors, whose sum is σ = 1692125890560. Its totient is φ = 118342287360.

The previous prime is 460257327331. The next prime is 460257327373. The reversal of 460257327360 is 63723752064.

460257327360 is a `hidden beast` number, since 4 + 6 + 0 + 2 + 573 + 2 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378189472 + ... + 378190688.

It is an arithmetic number, because the mean of its divisors is an integer number (2937718560).

Almost surely, 2^460257327360 is an apocalyptic number.

460257327360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460257327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846062945280).

460257327360 is an abundant number, since it is smaller than the sum of its proper divisors (1231868563200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460257327360 is a wasteful number, since it uses less digits than its factorization.

460257327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 460257327360 in words is "four hundred sixty billion, two hundred fifty-seven million, three hundred twenty-seven thousand, three hundred sixty".